TSTP Solution File: SWC269+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWC269+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:18:03 EDT 2023
% Result : Theorem 0.21s 0.75s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC269+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.35 % Computer : n008.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 15:50:32 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.74 %-------------------------------------------
% 0.21/0.74 % File :CSE---1.6
% 0.21/0.74 % Problem :theBenchmark
% 0.21/0.74 % Transform :cnf
% 0.21/0.74 % Format :tptp:raw
% 0.21/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.74
% 0.21/0.74 % Result :Theorem 0.020000s
% 0.21/0.74 % Output :CNFRefutation 0.020000s
% 0.21/0.74 %-------------------------------------------
% 0.21/0.75 %--------------------------------------------------------------------------
% 0.21/0.75 % File : SWC269+1 : TPTP v8.1.2. Released v2.4.0.
% 0.21/0.75 % Domain : Software Creation
% 0.21/0.75 % Problem : cond_pst_sorted1_x_run_ord_front1
% 0.21/0.75 % Version : [Wei00] axioms.
% 0.21/0.75 % English : Find components in a software library that match a given target
% 0.21/0.75 % specification given in first-order logic. The components are
% 0.21/0.75 % specified in first-order logic as well. The problem represents
% 0.21/0.75 % a test of one library module specification against a target
% 0.21/0.75 % specification.
% 0.21/0.75
% 0.21/0.75 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.21/0.75 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.21/0.75 % Source : [Wei00]
% 0.21/0.75 % Names : cond_pst_sorted1_x_run_ord_front1 [Wei00]
% 0.21/0.75
% 0.21/0.75 % Status : Theorem
% 0.21/0.75 % Rating : 0.06 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.00 v4.0.1, 0.04 v4.0.0, 0.08 v3.7.0, 0.00 v3.4.0, 0.11 v3.3.0, 0.00 v2.4.0
% 0.21/0.75 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.21/0.75 % Number of atoms : 408 ( 73 equ)
% 0.21/0.75 % Maximal formula atoms : 14 ( 4 avg)
% 0.21/0.75 % Number of connectives : 340 ( 28 ~; 13 |; 42 &)
% 0.21/0.75 % ( 26 <=>; 231 =>; 0 <=; 0 <~>)
% 0.21/0.75 % Maximal formula depth : 19 ( 7 avg)
% 0.21/0.75 % Maximal term depth : 4 ( 1 avg)
% 0.21/0.75 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.21/0.75 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.21/0.75 % Number of variables : 208 ( 194 !; 14 ?)
% 0.21/0.75 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.75
% 0.21/0.75 % Comments :
% 0.21/0.75 %--------------------------------------------------------------------------
% 0.21/0.75 %----Include list specification axioms
% 0.21/0.75 include('Axioms/SWC001+0.ax').
% 0.21/0.75 %--------------------------------------------------------------------------
% 0.21/0.75 fof(co1,conjecture,
% 0.21/0.75 ! [U] :
% 0.21/0.75 ( ssList(U)
% 0.21/0.75 => ! [V] :
% 0.21/0.75 ( ssList(V)
% 0.21/0.75 => ! [W] :
% 0.21/0.75 ( ssList(W)
% 0.21/0.75 => ! [X] :
% 0.21/0.75 ( ssList(X)
% 0.21/0.75 => ( V != X
% 0.21/0.75 | U != W
% 0.21/0.75 | ~ frontsegP(X,W)
% 0.21/0.75 | ~ totalorderedP(W)
% 0.21/0.75 | ? [Y] :
% 0.21/0.75 ( ssList(Y)
% 0.21/0.75 & neq(W,Y)
% 0.21/0.75 & frontsegP(X,Y)
% 0.21/0.75 & segmentP(Y,W)
% 0.21/0.75 & totalorderedP(Y) )
% 0.21/0.75 | totalorderedP(U) ) ) ) ) ) ).
% 0.21/0.75
% 0.21/0.75 %--------------------------------------------------------------------------
% 0.21/0.75 %-------------------------------------------
% 0.21/0.75 % Proof found
% 0.21/0.75 % SZS status Theorem for theBenchmark
% 0.21/0.75 % SZS output start Proof
% 0.21/0.75 %ClaNum:286(EqnAxiom:88)
% 0.21/0.75 %VarNum:1013(SingletonVarNum:328)
% 0.21/0.75 %MaxLitNum:10
% 0.21/0.75 %MaxfuncDepth:4
% 0.21/0.75 %SharedTerms:28
% 0.21/0.75 %goalClause: 89 90 94 95 96 97 102 106 109 241
% 0.21/0.75 %singleGoalClaCount:9
% 0.21/0.75 [89]E(a1,a2)
% 0.21/0.75 [90]E(a46,a48)
% 0.21/0.75 [91]P1(a3)
% 0.21/0.75 [92]P1(a16)
% 0.21/0.75 [93]P15(a49)
% 0.21/0.75 [94]P15(a2)
% 0.21/0.75 [95]P15(a46)
% 0.21/0.75 [96]P15(a1)
% 0.21/0.75 [97]P15(a48)
% 0.21/0.75 [98]P2(a49)
% 0.21/0.75 [99]P16(a49)
% 0.21/0.75 [100]P17(a49)
% 0.21/0.75 [101]P19(a49)
% 0.21/0.75 [102]P19(a1)
% 0.21/0.75 [103]P18(a49)
% 0.21/0.75 [104]P3(a49)
% 0.21/0.75 [105]P4(a49)
% 0.21/0.75 [106]P5(a48,a1)
% 0.21/0.75 [107]~E(a16,a3)
% 0.21/0.75 [108]~P6(a49)
% 0.21/0.75 [109]~P19(a2)
% 0.21/0.75 [118]~P15(x1181)+P5(x1181,a49)
% 0.21/0.75 [119]~P15(x1191)+P7(x1191,a49)
% 0.21/0.75 [120]~P15(x1201)+P14(x1201,a49)
% 0.21/0.75 [124]~P15(x1241)+P5(x1241,x1241)
% 0.21/0.75 [125]~P15(x1251)+P7(x1251,x1251)
% 0.21/0.75 [126]~P15(x1261)+P14(x1261,x1261)
% 0.21/0.75 [127]~P1(x1271)+P8(x1271,x1271)
% 0.21/0.75 [128]~P1(x1281)+P9(x1281,x1281)
% 0.21/0.75 [168]~P1(x1681)+~P11(a49,x1681)
% 0.21/0.75 [172]~P12(x1721,x1721)+~P1(x1721)
% 0.21/0.75 [122]~P15(x1221)+E(f4(x1221,a49),x1221)
% 0.21/0.75 [123]~P15(x1231)+E(f4(a49,x1231),x1231)
% 0.21/0.75 [177]~P1(x1771)+P2(f6(x1771,a49))
% 0.21/0.75 [178]~P1(x1781)+P16(f6(x1781,a49))
% 0.21/0.75 [179]~P1(x1791)+P17(f6(x1791,a49))
% 0.21/0.75 [180]~P1(x1801)+P19(f6(x1801,a49))
% 0.21/0.75 [181]~P1(x1811)+P18(f6(x1811,a49))
% 0.21/0.75 [182]~P1(x1821)+P3(f6(x1821,a49))
% 0.21/0.75 [183]~P1(x1831)+P4(f6(x1831,a49))
% 0.21/0.75 [163]~P15(x1631)+~E(a49,x1631)+P5(a49,x1631)
% 0.21/0.75 [164]~P15(x1641)+~E(a49,x1641)+P7(a49,x1641)
% 0.21/0.75 [165]~P15(x1651)+~E(a49,x1651)+P14(a49,x1651)
% 0.21/0.75 [169]~P15(x1691)+~P5(a49,x1691)+E(a49,x1691)
% 0.21/0.75 [170]~P15(x1701)+~P7(a49,x1701)+E(a49,x1701)
% 0.21/0.75 [171]~P15(x1711)+~P14(a49,x1711)+E(a49,x1711)
% 0.21/0.75 [110]~P15(x1101)+E(f50(x1101),f27(x1101))+E(a49,x1101)
% 0.21/0.75 [111]~P15(x1111)+E(f56(x1111),f45(x1111))+E(a49,x1111)
% 0.21/0.75 [112]~P15(x1121)+E(a49,x1121)+P1(f50(x1121))
% 0.21/0.75 [113]~P15(x1131)+E(a49,x1131)+P1(f28(x1131))
% 0.21/0.75 [114]~P15(x1141)+E(a49,x1141)+P1(f27(x1141))
% 0.21/0.75 [115]~P15(x1151)+E(a49,x1151)+P15(f56(x1151))
% 0.21/0.75 [116]~P15(x1161)+E(a49,x1161)+P15(f29(x1161))
% 0.21/0.75 [117]~P15(x1171)+E(a49,x1171)+P15(f45(x1171))
% 0.21/0.75 [121]P3(x1211)+~P15(x1211)+E(f30(x1211),f36(x1211))
% 0.21/0.75 [129]~P15(x1291)+P2(x1291)+P1(f5(x1291))
% 0.21/0.75 [130]~P15(x1301)+P2(x1301)+P1(f7(x1301))
% 0.21/0.75 [131]~P15(x1311)+P2(x1311)+P15(f8(x1311))
% 0.21/0.75 [132]~P15(x1321)+P2(x1321)+P15(f9(x1321))
% 0.21/0.75 [133]~P15(x1331)+P2(x1331)+P15(f10(x1331))
% 0.21/0.75 [134]~P15(x1341)+P16(x1341)+P1(f11(x1341))
% 0.21/0.75 [135]~P15(x1351)+P16(x1351)+P1(f12(x1351))
% 0.21/0.75 [136]~P15(x1361)+P16(x1361)+P15(f13(x1361))
% 0.21/0.75 [137]~P15(x1371)+P16(x1371)+P15(f14(x1371))
% 0.21/0.75 [138]~P15(x1381)+P16(x1381)+P15(f15(x1381))
% 0.21/0.75 [139]~P15(x1391)+P17(x1391)+P1(f17(x1391))
% 0.21/0.75 [140]~P15(x1401)+P17(x1401)+P1(f18(x1401))
% 0.21/0.75 [141]~P15(x1411)+P17(x1411)+P15(f19(x1411))
% 0.21/0.75 [142]~P15(x1421)+P17(x1421)+P15(f20(x1421))
% 0.21/0.75 [143]~P15(x1431)+P17(x1431)+P15(f21(x1431))
% 0.21/0.75 [144]~P15(x1441)+P19(x1441)+P1(f22(x1441))
% 0.21/0.75 [145]~P15(x1451)+P19(x1451)+P1(f23(x1451))
% 0.21/0.75 [146]~P15(x1461)+P19(x1461)+P15(f24(x1461))
% 0.21/0.75 [147]~P15(x1471)+P19(x1471)+P15(f25(x1471))
% 0.21/0.75 [148]~P15(x1481)+P19(x1481)+P15(f26(x1481))
% 0.21/0.75 [149]~P15(x1491)+P18(x1491)+P1(f31(x1491))
% 0.21/0.75 [150]~P15(x1501)+P18(x1501)+P1(f32(x1501))
% 0.21/0.75 [151]~P15(x1511)+P18(x1511)+P15(f33(x1511))
% 0.21/0.75 [152]~P15(x1521)+P18(x1521)+P15(f34(x1521))
% 0.21/0.75 [153]~P15(x1531)+P18(x1531)+P15(f35(x1531))
% 0.21/0.75 [154]~P15(x1541)+P3(x1541)+P1(f30(x1541))
% 0.21/0.75 [155]~P15(x1551)+P3(x1551)+P1(f36(x1551))
% 0.21/0.75 [156]~P15(x1561)+P3(x1561)+P15(f37(x1561))
% 0.21/0.75 [157]~P15(x1571)+P3(x1571)+P15(f38(x1571))
% 0.21/0.75 [158]~P15(x1581)+P3(x1581)+P15(f39(x1581))
% 0.21/0.75 [159]~P15(x1591)+P4(x1591)+P1(f40(x1591))
% 0.21/0.75 [160]~P15(x1601)+P4(x1601)+P1(f42(x1601))
% 0.21/0.75 [161]~P15(x1611)+P4(x1611)+P15(f43(x1611))
% 0.21/0.75 [162]~P15(x1621)+P4(x1621)+P15(f44(x1621))
% 0.21/0.75 [166]~P15(x1661)+P4(x1661)+~E(f42(x1661),f40(x1661))
% 0.21/0.75 [167]~P15(x1671)+~P6(x1671)+P1(f51(x1671))
% 0.21/0.75 [188]~P15(x1881)+P2(x1881)+P8(f5(x1881),f7(x1881))
% 0.21/0.75 [189]~P15(x1891)+P2(x1891)+P8(f7(x1891),f5(x1891))
% 0.21/0.75 [209]~P15(x2091)+P16(x2091)+~P8(f11(x2091),f12(x2091))
% 0.21/0.75 [210]~P15(x2101)+P16(x2101)+~P8(f12(x2101),f11(x2101))
% 0.21/0.75 [211]~P15(x2111)+P17(x2111)+~P12(f17(x2111),f18(x2111))
% 0.21/0.75 [212]~P15(x2121)+P17(x2121)+~P12(f18(x2121),f17(x2121))
% 0.21/0.75 [213]~P15(x2131)+P19(x2131)+~P8(f22(x2131),f23(x2131))
% 0.21/0.75 [214]~P15(x2141)+P18(x2141)+~P12(f31(x2141),f32(x2141))
% 0.21/0.75 [176]~P15(x1761)+~P6(x1761)+E(f6(f51(x1761),a49),x1761)
% 0.21/0.75 [184]~P15(x1841)+E(a49,x1841)+E(f6(f50(x1841),f56(x1841)),x1841)
% 0.21/0.75 [185]~P15(x1851)+E(a49,x1851)+E(f6(f28(x1851),f29(x1851)),x1851)
% 0.21/0.75 [275]P2(x2751)+~P15(x2751)+E(f4(f4(f8(x2751),f6(f5(x2751),f9(x2751))),f6(f7(x2751),f10(x2751))),x2751)
% 0.21/0.75 [276]P16(x2761)+~P15(x2761)+E(f4(f4(f13(x2761),f6(f11(x2761),f14(x2761))),f6(f12(x2761),f15(x2761))),x2761)
% 0.21/0.75 [277]P17(x2771)+~P15(x2771)+E(f4(f4(f19(x2771),f6(f17(x2771),f20(x2771))),f6(f18(x2771),f21(x2771))),x2771)
% 0.21/0.76 [278]P19(x2781)+~P15(x2781)+E(f4(f4(f24(x2781),f6(f22(x2781),f25(x2781))),f6(f23(x2781),f26(x2781))),x2781)
% 0.21/0.76 [279]P18(x2791)+~P15(x2791)+E(f4(f4(f33(x2791),f6(f31(x2791),f34(x2791))),f6(f32(x2791),f35(x2791))),x2791)
% 0.21/0.76 [280]P3(x2801)+~P15(x2801)+E(f4(f4(f37(x2801),f6(f30(x2801),f38(x2801))),f6(f36(x2801),f39(x2801))),x2801)
% 0.21/0.76 [273]P4(x2731)+~P15(x2731)+E(f4(f43(x2731),f6(f40(x2731),f6(f42(x2731),f44(x2731)))),x2731)
% 0.21/0.76 [186]~P1(x1861)+~P15(x1862)+~E(f6(x1861,x1862),a49)
% 0.21/0.76 [187]~P1(x1871)+~P15(x1872)+~E(f6(x1871,x1872),x1872)
% 0.21/0.76 [196]~P1(x1961)+~P15(x1962)+P15(f6(x1961,x1962))
% 0.21/0.76 [197]~P15(x1972)+~P15(x1971)+P15(f4(x1971,x1972))
% 0.21/0.76 [198]~P1(x1981)+~P15(x1982)+E(f50(f6(x1981,x1982)),x1981)
% 0.21/0.76 [199]~P1(x1991)+~P15(x1992)+E(f56(f6(x1991,x1992)),x1992)
% 0.21/0.76 [226]~P1(x2261)+~P15(x2262)+E(f4(f6(x2261,a49),x2262),f6(x2261,x2262))
% 0.21/0.76 [173]P13(x1731,x1732)+~P1(x1732)+~P1(x1731)+E(x1731,x1732)
% 0.21/0.76 [174]P13(x1741,x1742)+~P15(x1742)+~P15(x1741)+E(x1741,x1742)
% 0.21/0.76 [193]~P1(x1932)+~P1(x1931)+~P13(x1931,x1932)+~E(x1931,x1932)
% 0.21/0.76 [194]~P1(x1942)+~P1(x1941)+~P12(x1941,x1942)+~E(x1941,x1942)
% 0.21/0.76 [195]~P15(x1952)+~P15(x1951)+~P13(x1951,x1952)+~E(x1951,x1952)
% 0.21/0.76 [204]~P1(x2041)+~P1(x2042)+~P9(x2042,x2041)+P8(x2041,x2042)
% 0.21/0.76 [205]~P1(x2052)+~P1(x2051)+~P12(x2051,x2052)+P8(x2051,x2052)
% 0.21/0.76 [206]~P1(x2061)+~P1(x2062)+~P10(x2062,x2061)+P12(x2061,x2062)
% 0.21/0.76 [207]~P1(x2071)+~P1(x2072)+~P8(x2072,x2071)+P9(x2071,x2072)
% 0.21/0.76 [208]~P1(x2081)+~P1(x2082)+~P12(x2082,x2081)+P10(x2081,x2082)
% 0.21/0.76 [217]~P12(x2171,x2172)+~P12(x2172,x2171)+~P1(x2171)+~P1(x2172)
% 0.21/0.76 [218]~P10(x2181,x2182)+~P10(x2182,x2181)+~P1(x2181)+~P1(x2182)
% 0.21/0.76 [190]~P15(x1902)+~P15(x1901)+E(a49,x1901)+~E(f4(x1902,x1901),a49)
% 0.21/0.76 [191]~P15(x1912)+~P15(x1911)+E(a49,x1911)+~E(f4(x1911,x1912),a49)
% 0.21/0.76 [192]~P1(x1922)+~P15(x1921)+P6(x1921)+~E(f6(x1922,a49),x1921)
% 0.21/0.76 [201]~P1(x2011)+~P15(x2012)+~E(a49,x2012)+P19(f6(x2011,x2012))
% 0.21/0.76 [202]~P1(x2021)+~P15(x2022)+~E(a49,x2022)+P18(f6(x2021,x2022))
% 0.21/0.76 [229]~P1(x2292)+~P15(x2291)+~P11(x2291,x2292)+P15(f41(x2291,x2292))
% 0.21/0.76 [230]~P1(x2302)+~P15(x2301)+~P11(x2301,x2302)+P15(f47(x2301,x2302))
% 0.21/0.76 [231]~P15(x2312)+~P15(x2311)+~P5(x2311,x2312)+P15(f52(x2311,x2312))
% 0.21/0.76 [232]~P15(x2322)+~P15(x2321)+~P7(x2321,x2322)+P15(f53(x2321,x2322))
% 0.21/0.76 [233]~P15(x2332)+~P15(x2331)+~P14(x2331,x2332)+P15(f54(x2331,x2332))
% 0.21/0.76 [234]~P15(x2342)+~P15(x2341)+~P14(x2341,x2342)+P15(f55(x2341,x2342))
% 0.21/0.76 [203]~P15(x2032)+~P15(x2031)+E(a49,x2031)+E(f50(f4(x2031,x2032)),f50(x2031))
% 0.21/0.76 [228]~P15(x2282)+~P15(x2281)+E(a49,x2281)+E(f56(f4(x2281,x2282)),f4(f56(x2281),x2282))
% 0.21/0.76 [242]~P15(x2422)+~P15(x2421)+~P5(x2422,x2421)+E(f4(x2421,f52(x2422,x2421)),x2422)
% 0.21/0.76 [243]~P15(x2432)+~P15(x2431)+~P7(x2431,x2432)+E(f4(f53(x2431,x2432),x2432),x2431)
% 0.21/0.76 [272]~P15(x2722)+~P15(x2721)+~P14(x2721,x2722)+E(f4(f4(f54(x2721,x2722),x2722),f55(x2721,x2722)),x2721)
% 0.21/0.76 [271]~P1(x2712)+~P15(x2711)+~P11(x2711,x2712)+E(f4(f41(x2711,x2712),f6(x2712,f47(x2711,x2712))),x2711)
% 0.21/0.76 [261]~P1(x2611)+~P15(x2612)+~P15(x2613)+E(f6(x2611,f4(x2612,x2613)),f4(f6(x2611,x2612),x2613))
% 0.21/0.76 [262]~P15(x2623)+~P15(x2622)+~P15(x2621)+E(f4(f4(x2621,x2622),x2623),f4(x2621,f4(x2622,x2623)))
% 0.21/0.76 [241]~P19(x2411)+~P15(x2411)+~P14(x2411,a1)+~P13(a1,x2411)+~P5(a48,x2411)
% 0.21/0.76 [216]P12(x2161,x2162)+~P1(x2162)+~P1(x2161)+~P8(x2161,x2162)+E(x2161,x2162)
% 0.21/0.76 [221]~P1(x2212)+~P1(x2211)+~P8(x2212,x2211)+~P8(x2211,x2212)+E(x2211,x2212)
% 0.21/0.76 [222]~P1(x2222)+~P1(x2221)+~P9(x2222,x2221)+~P9(x2221,x2222)+E(x2221,x2222)
% 0.21/0.76 [223]~P15(x2232)+~P15(x2231)+~P5(x2232,x2231)+~P5(x2231,x2232)+E(x2231,x2232)
% 0.21/0.76 [224]~P15(x2242)+~P15(x2241)+~P7(x2242,x2241)+~P7(x2241,x2242)+E(x2241,x2242)
% 0.21/0.76 [225]~P15(x2252)+~P15(x2251)+~P14(x2252,x2251)+~P14(x2251,x2252)+E(x2251,x2252)
% 0.21/0.76 [175]~P15(x1751)+~P15(x1752)+~E(a49,x1751)+~E(a49,x1752)+E(f4(x1751,x1752),a49)
% 0.21/0.76 [237]P19(x2371)+~P15(x2371)+~P1(x2372)+E(a49,x2371)+~P19(f6(x2372,x2371))
% 0.21/0.76 [238]P18(x2381)+~P15(x2381)+~P1(x2382)+E(a49,x2381)+~P18(f6(x2382,x2381))
% 0.21/0.76 [252]~P1(x2522)+~P15(x2521)+E(a49,x2521)+P8(x2522,f50(x2521))+~P19(f6(x2522,x2521))
% 0.21/0.76 [253]~P1(x2532)+~P15(x2531)+E(a49,x2531)+P12(x2532,f50(x2531))+~P18(f6(x2532,x2531))
% 0.21/0.76 [219]~P15(x2191)+~P15(x2192)+~P15(x2193)+P5(x2191,x2192)+~E(f4(x2192,x2193),x2191)
% 0.21/0.76 [220]~P15(x2201)+~P15(x2202)+~P15(x2203)+P7(x2201,x2202)+~E(f4(x2203,x2202),x2201)
% 0.21/0.76 [227]~E(x2273,x2271)+~P1(x2271)+~P1(x2273)+~P15(x2272)+P11(f6(x2271,x2272),x2273)
% 0.21/0.76 [235]~P15(x2352)+~P15(x2353)+~P15(x2351)+E(x2351,x2352)+~E(f4(x2353,x2351),f4(x2353,x2352))
% 0.21/0.76 [236]~P15(x2362)+~P15(x2363)+~P15(x2361)+E(x2361,x2362)+~E(f4(x2361,x2363),f4(x2362,x2363))
% 0.21/0.76 [254]~P1(x2541)+~P1(x2543)+~P15(x2542)+~P11(x2542,x2543)+P11(f6(x2541,x2542),x2543)
% 0.21/0.76 [255]~P1(x2553)+~P15(x2551)+~P15(x2552)+~P11(x2552,x2553)+P11(f4(x2551,x2552),x2553)
% 0.21/0.76 [256]~P1(x2563)+~P15(x2562)+~P15(x2561)+~P11(x2561,x2563)+P11(f4(x2561,x2562),x2563)
% 0.21/0.76 [257]~P15(x2572)+~P15(x2573)+~P15(x2571)+~P5(x2571,x2573)+P5(f4(x2571,x2572),x2573)
% 0.21/0.76 [258]~P15(x2581)+~P15(x2583)+~P15(x2582)+~P7(x2582,x2583)+P7(f4(x2581,x2582),x2583)
% 0.21/0.76 [259]~P1(x2592)+~P15(x2591)+~P19(x2591)+~P8(x2592,f50(x2591))+E(a49,x2591)+P19(f6(x2592,x2591))
% 0.21/0.76 [260]~P1(x2602)+~P15(x2601)+~P18(x2601)+~P12(x2602,f50(x2601))+E(a49,x2601)+P18(f6(x2602,x2601))
% 0.21/0.76 [244]~P15(x2442)+~P15(x2441)+~P5(x2443,x2442)+~P5(x2441,x2443)+P5(x2441,x2442)+~P15(x2443)
% 0.21/0.76 [245]~P15(x2452)+~P15(x2451)+~P7(x2453,x2452)+~P7(x2451,x2453)+P7(x2451,x2452)+~P15(x2453)
% 0.21/0.76 [246]~P15(x2462)+~P15(x2461)+~P14(x2463,x2462)+~P14(x2461,x2463)+P14(x2461,x2462)+~P15(x2463)
% 0.21/0.76 [247]~P1(x2472)+~P1(x2471)+~P8(x2473,x2472)+~P8(x2471,x2473)+P8(x2471,x2472)+~P1(x2473)
% 0.21/0.76 [248]~P1(x2482)+~P1(x2481)+~P8(x2481,x2483)+~P12(x2483,x2482)+P12(x2481,x2482)+~P1(x2483)
% 0.21/0.76 [249]~P1(x2492)+~P1(x2491)+~P12(x2493,x2492)+~P12(x2491,x2493)+P12(x2491,x2492)+~P1(x2493)
% 0.21/0.76 [250]~P1(x2502)+~P1(x2501)+~P9(x2503,x2502)+~P9(x2501,x2503)+P9(x2501,x2502)+~P1(x2503)
% 0.21/0.76 [251]~P1(x2512)+~P1(x2511)+~P10(x2513,x2512)+~P10(x2511,x2513)+P10(x2511,x2512)+~P1(x2513)
% 0.21/0.76 [263]~P1(x2632)+~P1(x2631)+~P15(x2633)+E(x2631,x2632)+P11(x2633,x2632)+~P11(f6(x2631,x2633),x2632)
% 0.21/0.76 [266]~P1(x2662)+~P15(x2661)+~P15(x2663)+P11(x2661,x2662)+P11(x2663,x2662)+~P11(f4(x2663,x2661),x2662)
% 0.21/0.76 [239]~P1(x2394)+~P1(x2393)+~P15(x2392)+~P15(x2391)+E(x2391,x2392)+~E(f6(x2393,x2392),f6(x2394,x2391))
% 0.21/0.76 [240]~P1(x2402)+~P1(x2401)+~P15(x2404)+~P15(x2403)+E(x2401,x2402)+~E(f6(x2401,x2403),f6(x2402,x2404))
% 0.21/0.76 [268]~P1(x2682)+~P1(x2681)+E(x2681,x2682)+~P15(x2683)+~P15(x2684)+~P5(f6(x2681,x2684),f6(x2682,x2683))
% 0.21/0.76 [270]~P15(x2702)+~P15(x2701)+P5(x2701,x2702)+~P1(x2703)+~P1(x2704)+~P5(f6(x2704,x2701),f6(x2703,x2702))
% 0.21/0.76 [264]~P1(x2642)+~P15(x2641)+~P15(x2644)+~P15(x2643)+P11(x2641,x2642)+~E(f4(x2643,f6(x2642,x2644)),x2641)
% 0.21/0.76 [265]~P15(x2651)+~P15(x2652)+~P15(x2654)+~P15(x2653)+P14(x2651,x2652)+~E(f4(f4(x2653,x2652),x2654),x2651)
% 0.21/0.76 [269]~P15(x2693)+~P15(x2691)+~P15(x2694)+~P15(x2692)+~P14(x2692,x2694)+P14(f4(f4(x2691,x2692),x2693),x2694)
% 0.21/0.76 [200]~P15(x2002)+~P15(x2001)+E(x2001,x2002)+E(a49,x2002)+E(a49,x2001)+~E(f50(x2001),f50(x2002))+~E(f56(x2001),f56(x2002))
% 0.21/0.76 [267]~E(x2671,x2673)+~P1(x2673)+~P1(x2671)+~P15(x2674)+~P15(x2672)+~P5(x2672,x2674)+P5(f6(x2671,x2672),f6(x2673,x2674))
% 0.21/0.76 [274]~P1(x2742)+~P1(x2741)+~P15(x2744)+~P15(x2743)+~P15(x2745)+~P4(x2745)+E(x2741,x2742)+~E(f4(x2743,f6(x2741,f6(x2742,x2744))),x2745)
% 0.21/0.76 [281]~P1(x2812)+~P1(x2811)+~P15(x2815)+~P15(x2814)+~P15(x2813)+~P15(x2816)+~P3(x2816)+~E(x2811,x2812)+~E(f4(f4(x2813,f6(x2811,x2814)),f6(x2812,x2815)),x2816)
% 0.21/0.76 [282]~P1(x2822)+~P1(x2821)+~P15(x2825)+~P15(x2824)+~P15(x2823)+~P15(x2826)+~P19(x2826)+P8(x2821,x2822)+~E(f4(f4(x2823,f6(x2821,x2824)),f6(x2822,x2825)),x2826)
% 0.21/0.76 [283]~P1(x2832)+~P1(x2831)+~P15(x2835)+~P15(x2834)+~P15(x2833)+~P15(x2836)+~P18(x2836)+P12(x2831,x2832)+~E(f4(f4(x2833,f6(x2831,x2834)),f6(x2832,x2835)),x2836)
% 0.21/0.76 [284]P8(x2842,x2841)+~P1(x2841)+~P1(x2842)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P16(x2846)+P8(x2841,x2842)+~E(f4(f4(x2843,f6(x2842,x2844)),f6(x2841,x2845)),x2846)
% 0.21/0.76 [285]P12(x2852,x2851)+~P1(x2851)+~P1(x2852)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P17(x2856)+P12(x2851,x2852)+~E(f4(f4(x2853,f6(x2852,x2854)),f6(x2851,x2855)),x2856)
% 0.21/0.76 [286]~P1(x2864)+~P1(x2862)+~P15(x2865)+~P15(x2863)+~P15(x2861)+~P15(x2866)+~P2(x2866)+~P8(x2864,x2862)+~P8(x2862,x2864)+~E(f4(f4(x2861,f6(x2862,x2863)),f6(x2864,x2865)),x2866)
% 0.21/0.76 %EqnAxiom
% 0.21/0.76 [1]E(x11,x11)
% 0.21/0.76 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.76 [4]~E(x41,x42)+E(f50(x41),f50(x42))
% 0.21/0.76 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.21/0.76 [6]~E(x61,x62)+E(f56(x61),f56(x62))
% 0.21/0.76 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 0.21/0.76 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.21/0.76 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.21/0.76 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 0.21/0.76 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.21/0.76 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.21/0.76 [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 0.21/0.76 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 0.21/0.76 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 0.21/0.76 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.21/0.76 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 0.21/0.76 [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 0.21/0.76 [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 0.21/0.76 [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 0.21/0.76 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 0.21/0.76 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 0.21/0.76 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 0.21/0.76 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 0.21/0.76 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 0.21/0.76 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 0.21/0.76 [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 0.21/0.76 [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 0.21/0.76 [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 0.21/0.76 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 0.21/0.76 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 0.21/0.76 [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 0.21/0.76 [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 0.21/0.76 [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 0.21/0.76 [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 0.21/0.76 [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 0.21/0.76 [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 0.21/0.76 [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 0.21/0.76 [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 0.21/0.76 [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 0.21/0.76 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 0.21/0.76 [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 0.21/0.76 [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 0.21/0.76 [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 0.21/0.76 [45]~E(x451,x452)+E(f53(x451,x453),f53(x452,x453))
% 0.21/0.76 [46]~E(x461,x462)+E(f53(x463,x461),f53(x463,x462))
% 0.21/0.76 [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 0.21/0.76 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 0.21/0.76 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 0.21/0.76 [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 0.21/0.76 [51]~E(x511,x512)+E(f39(x511),f39(x512))
% 0.21/0.76 [52]~E(x521,x522)+E(f54(x521,x523),f54(x522,x523))
% 0.21/0.76 [53]~E(x531,x532)+E(f54(x533,x531),f54(x533,x532))
% 0.21/0.76 [54]~E(x541,x542)+E(f47(x541,x543),f47(x542,x543))
% 0.21/0.76 [55]~E(x551,x552)+E(f47(x553,x551),f47(x553,x552))
% 0.21/0.76 [56]~E(x561,x562)+E(f55(x561,x563),f55(x562,x563))
% 0.21/0.76 [57]~E(x571,x572)+E(f55(x573,x571),f55(x573,x572))
% 0.21/0.76 [58]~E(x581,x582)+E(f52(x581,x583),f52(x582,x583))
% 0.21/0.76 [59]~E(x591,x592)+E(f52(x593,x591),f52(x593,x592))
% 0.21/0.76 [60]~E(x601,x602)+E(f51(x601),f51(x602))
% 0.21/0.76 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.21/0.76 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 0.21/0.76 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 0.21/0.76 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.21/0.76 [65]P11(x652,x653)+~E(x651,x652)+~P11(x651,x653)
% 0.21/0.76 [66]P11(x663,x662)+~E(x661,x662)+~P11(x663,x661)
% 0.21/0.76 [67]~P3(x671)+P3(x672)+~E(x671,x672)
% 0.21/0.76 [68]~P2(x681)+P2(x682)+~E(x681,x682)
% 0.21/0.76 [69]~P18(x691)+P18(x692)+~E(x691,x692)
% 0.21/0.76 [70]P13(x702,x703)+~E(x701,x702)+~P13(x701,x703)
% 0.21/0.76 [71]P13(x713,x712)+~E(x711,x712)+~P13(x713,x711)
% 0.21/0.76 [72]~P16(x721)+P16(x722)+~E(x721,x722)
% 0.21/0.76 [73]~P17(x731)+P17(x732)+~E(x731,x732)
% 0.21/0.76 [74]~P19(x741)+P19(x742)+~E(x741,x742)
% 0.21/0.76 [75]P12(x752,x753)+~E(x751,x752)+~P12(x751,x753)
% 0.21/0.76 [76]P12(x763,x762)+~E(x761,x762)+~P12(x763,x761)
% 0.21/0.76 [77]P5(x772,x773)+~E(x771,x772)+~P5(x771,x773)
% 0.21/0.76 [78]P5(x783,x782)+~E(x781,x782)+~P5(x783,x781)
% 0.21/0.76 [79]P14(x792,x793)+~E(x791,x792)+~P14(x791,x793)
% 0.21/0.76 [80]P14(x803,x802)+~E(x801,x802)+~P14(x803,x801)
% 0.21/0.76 [81]~P4(x811)+P4(x812)+~E(x811,x812)
% 0.21/0.76 [82]P10(x822,x823)+~E(x821,x822)+~P10(x821,x823)
% 0.21/0.76 [83]P10(x833,x832)+~E(x831,x832)+~P10(x833,x831)
% 0.21/0.76 [84]~P6(x841)+P6(x842)+~E(x841,x842)
% 0.21/0.76 [85]P7(x852,x853)+~E(x851,x852)+~P7(x851,x853)
% 0.21/0.76 [86]P7(x863,x862)+~E(x861,x862)+~P7(x863,x861)
% 0.21/0.76 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 0.21/0.76 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 0.21/0.76
% 0.21/0.76 %-------------------------------------------
% 0.21/0.76 cnf(291,plain,
% 0.21/0.76 ($false),
% 0.21/0.76 inference(scs_inference,[],[89,102,106,109,91,2,172,78,74]),
% 0.21/0.76 ['proof']).
% 0.21/0.76 % SZS output end Proof
% 0.21/0.76 % Total time :0.020000s
%------------------------------------------------------------------------------